Write the phrase “all real numbers that are greater than 24 and less than or equal to 7” as a compound inequality

We are given phrase " all real numbers that are greater than 24 and less than or equal to 7".

We need to write a compound inequality for this phrase.

Let us break it into smaller parts first.

Let us assume a real number by n.

n is greater than 24 could be written as

And n is less then or equal to 7 could be written as

Now, we can write compound inequality by putting n in between, we get

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.